\begin{tikzpicture}[>=Stealth]
    \draw [->] (-1.8,0) -- (2.25*pi +1,0) node[anchor=north] {$x$};
    \draw [->] (0,-1.5) -- (0,1.5) node[anchor=east] {$y$};
    \node at (-0.3,-0.3) {$O$};

    \foreach \x / \name in {
        -0.33333 * pi / $-\dfrac \pi 3$,
        0.16667 * pi / $\dfrac \pi 6$,
        0.25 * pi / $\dfrac \pi 4$,
        0.5 * pi / $\dfrac \pi 2$,
        0.66667 * pi / $\dfrac{2\pi}{3}$,
        1.16667 * pi / $\dfrac{7\pi}{6}$,
        1.75 * pi / $\dfrac{7\pi}{4}$
    } {
        \draw (\x,0.1) -- (\x,0) node[anchor=north] {\name};
    }
    \foreach \x / \name in {
        0.75 * pi / $\dfrac{3\pi}{4}$,
        pi / $\pi$,
        1.25 * pi / $\dfrac{5\pi}{4}$,
        1.5 * pi / $\dfrac{3\pi}{2}$,
        1.66667 * pi / $\dfrac{5\pi}{3}$,
        2 * pi / $2\pi$,
        2.25 * pi / $\dfrac{9\pi}{4}$
    } {
        \draw (\x,0) -- (\x,0.1) node[anchor=south] {\name};
    }

    \foreach \y in {-1,1} {
        \draw (0.2,\y) -- (0,\y) node[anchor=east] {\y};
    }

    \draw[dashed, domain=0:2*pi,samples=50] plot (\x, {sin(\x r)}) (0.5*pi, 1.3) node {$y = \sin x$};
    \draw[thick, domain=-pi/3:5*pi/3,samples=50] plot (\x, {sin((\x + pi/3) r)})  (1.0*pi, -1.4) node {$y = \sin \left( x + \dfrac \pi 3 \right)$};
    \draw[thick, domain=pi/4:9*pi/4,samples=50] plot (\x, {sin((\x - pi/4) r)})  (2.4*pi, -1.1) node {$y = \sin \left( x - \dfrac \pi 4 \right)$};
\end{tikzpicture}
